Open AccessExistence of periodic solutions for totally nonlinear neutral differential equations with functional delay
Author(s) -
Ernest Yankson
Publication year - 2012
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2012.32.3.617
Subject(s) - mathematics , nonlinear system , delay differential equation , mathematical analysis , differential equation , physics , quantum mechanics
We use a variant of Krasnoselskii's fixed point theorem by T. A. Burton to show that the nonlinear neutral differential equation with functional delay \[x'(t) = -a(t)h(x(t)) +c(t)x'(t-g(t)) + q(t,x(t) x(t-g(t)))\] has a periodic solution
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